Problem
A grocery store must decide on shelf space to be allocated to each of five types of breakfast cereals. The maximum daily demand is 80, 85, 140, 90, and 90 boxes, respectively. You must stock at least 5 breakfast cereals for each type. The shelf space in square inches for the respective boxes of breakfast cereals is 18, 24, 18, 22, and 20. The total available shelf space allocated for the breakfast cereal is 5,000 square inches. The profit per unit of each type of breakfast cereal is $1.10, $1.30, $1.08, $1.25, and $1.20, respectively. Determine how boxes of each breakfast cereal should be placed on the shelf to maximize profit?
i. Define the decision variables.
ii. Write the objective function.
iii. Write the constraints in standard form.